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Finding the Fourth Proportional to 142,005.88, 195,967.02 and 78,346.36

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Solution

The fourth proportional to 142,005.88, 195,967.02 and 78,346.36 is: 108,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,005.88 : 195,967.02 = 78,346.36 : x
  2. Step 2: Convert to fraction form
    142,005.88/195,967.02 = 78,346.36/x
  3. Step 3: Cross multiply
    142,005.88x = 195,967.02 × 78,346.36
  4. Step 4: Simplify right side
    142,005.88x = 15,353,302,697.05
  5. Step 5: Solve for x
    x = 15,353,302,697.05/142,005.88
  6. Step 6: Final answer
    x = 108,117.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.